Harmonic Univalent Functions Defined by Post Quantum Calculus Operators

TL;DR

This paper explores harmonic univalent functions in the unit disc defined via post quantum calculus operators, providing coefficient characterizations, estimates, distortion, covering theorems, and extremal properties, generalizing known results.

Contribution

It introduces a new class of harmonic univalent functions defined by post quantum calculus operators and derives key properties and theorems, extending existing results.

Findings

Coefficient characterization of the new function class

Coefficient estimates, distortion, and covering theorems

Extreme points and radius results

Abstract

We study a family of harmonic univalent functions in the open unit disc defined by using post quantum calculus operators. We first obtained a coefficient characterization of these functions. Using this, coefficients estimates, distortion and covering theorems were also obtained. The extreme points of the family and a radius result were also obtained. The results obtained include several known results as special cases.